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   非线性双调和方程 的翻译结果: 查询用时:0.009秒
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非线性双调和方程
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  nonlinear biharmonic equations
     This paper establishes a Hardy type inequality in H 0 2(Ω) (0 ∈ Ω R4), and obtains nontrivial solutions to nonlinear biharmonic equations by critical point theory.
     建立了H02(Ω)(0∈ΩR4)中的Hardy不等式,利用临界点理论得到了含位势的非线性双调和方程非平凡解的存在性.
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     The existence and properties of positive entire solutions for a class of singular nonlinear biharmonic equations on R~n
     一类R~n上奇异非线性双调和方程正整解的存在性及性质
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     The Positive Entire Solutions of Class of Singular Nonlinear Biharmonic Equations
     一类奇异非线性双调和方程的正整解
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     The Positive Entire Solutions of Class of Singular Nonlinear Biharmonic Equations
     一类R~2上奇异非线性双调和方程正整解
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     Our results are also fit for some nonlinear biharmonic equations.
     其结论亦适合于一些非线性双调和方程.
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  “非线性双调和方程”译为未确定词的双语例句
     The theorems of existence of positive radially symmetric entire solutions for a class singular nonlinear biharmonic Δ2u=f(|x|,u,|▽u|)u-β(n≥3,β<0) on Rn with the Schauder-tychonoff fixed point theorem as the principal are established,and the ralated properties of the solutions were obtained.
     以Schauder-Tychonoff不动点定理为工具,建立了一类Rn上奇异非线性双调和方程Δ2u=f(|x|,u,|▽u|)u-β(n≥3,β>0)正的径向对称整体解的存在性定理,并给出了解的有关性质.
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  相似匹配句对
     Analysis of Double Nonlinearity for Groundsurface Settlemen
     地面沉陷非线性分析
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     Nonlinear Analysis on the Stability in Duopoly Oligopoly
     寡头垄断的非线性稳定性分析
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     Nonlinear Systems
     非线性系统学
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     Nonlinear sweep
     非线性扫描
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     Double periodic solution of nonlinear waveequation with delay
     时滞非线性波动方程周期解
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  nonlinear biharmonic equations
Nonlinear Biharmonic Equations with Critical Potential
      
A supersolution-subsolution method for nonlinear biharmonic equations in
      


In this paper,author's aim is singular to establish the theorems of exsitence of posi-tive radial symmetry entire solutions of a class of nonlinear biharmonic equations on R~2 and pre-sents about the properties of the solutions. It enrichs and develops the theory and apply of pa-per [1] and [2].

该文建立了一类R~2上奇异非线性双调和方程正的径向对称整体解的存在性定理,并给出了解的有关性质,丰富和发展了文[1]」,[2]的理论和应用.

In the paper, our aim is to establish the theorems of existence of positive radial symmetric entire solutions for a class of nonlinear biharmonic equations in with the Schauder-Tychonoff fixed point theorem as the principal tool, presents about the proper-ties of the solutions.

以 Schauder-Tychonoff不动点定理为工具,建立了一类R2上奇异非线性双调和方程正的径向对称整体解的存在定理,并给出了解的有关性质.

 In this paper we consider the biharmonic equationsΔ2u-a(x)u=f(x) in Ω, u∈H2(Ω),(*) where Ω is a bounded domain in RN,N>4.For a large class of functions a(x) and f(x),some results about the interior regularity of weak solutions for(*) are obtained by the analysis of certain difference quotients. Our results are also fit for some nonlinear biharmonic equations.

本文考虑了下述线性双调和方程Δ2u-a(x)u=f(x) 在Ω中,u∈H2(Ω),(*)其中Ω RN,N>4.对于一类函数a(x),f(x),采用差分方法给出了弱解的内部正则性结果.其结论亦适合于一些非线性双调和方程.

 
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